• Create a sequence of rectangles using this rule starting with a (1 times 2 ) rectangle. Then write out the sequence of perimeters for the rectangles (the first term of the sequence would be 6, since the perimeter of a (1 times 2 ) rectangle is 6 - the next term would be 10). • Repeat the above part this time starting with a (1 times 3 ) rectangle. • Find recursive formulas for each of the sequences of perimeters you found in parts (a) and (b). Don't forget to give the initial conditions as well. • Are the sequences arithmetic?

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If not, are they close to being either of these (i.e., are the differences or ratios almost constant)? Checksoft home and business 12 license key. 10 Consider the sequence (2, 7, 15, 26, 40, 57, ldots ) (with (a_0 = 2 )). By looking at the differences between terms, express the sequence as a sequence of partial sums. Then find a closed formula for the sequence by computing the (n )th partial sum.